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Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Formula

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Vertical Semi-Axis typically refers to the half of the longest diameter of an ellipse that runs vertically. Check FAQs

B = (\frac{H}{2}) \cdot \frac{\sinh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\sinh (2 \cdot π \cdot \frac{d}{λ})}

B - Vertical Semi-Axis?H - Wave Height?D_Z+d - Distance above the Bottom?λ - Wavelength?d - Water Depth?π - Archimedes' constant?

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Example

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Here is how the Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth equation looks like with Values.

Here is how the Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth equation looks like with Units.

Here is how the Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth equation looks like.

3.393 = (\frac{3}{2}) \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}{\sinh (2 \cdot 3.1416 \cdot \frac{0.91}{26.8})}

3.393 = (\frac{3m}{2}) \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m})}{\sinh (2 \cdot 3.1416 \cdot \frac{0.91m}{26.8m})}

3.393 = (\frac{3}{2}) \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}{\sinh (2 \cdot 3.1416 \cdot \frac{0.91}{26.8})}

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Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Solution

Follow our step by step solution on how to calculate Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth?

FIRST Step Consider the formula

B = (\frac{H}{2}) \cdot \frac{\sinh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\sinh (2 \cdot π \cdot \frac{d}{λ})}

Next Step Substitute values of Variables

∴

B = (\frac{3m}{2}) \cdot \frac{\sinh (2 \cdot π \cdot \frac{2m}{26.8m})}{\sinh (2 \cdot π \cdot \frac{0.91m}{26.8m})}

Next Step Substitute values of Constants

∴

B = (\frac{3m}{2}) \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m})}{\sinh (2 \cdot 3.1416 \cdot \frac{0.91m}{26.8m})}

Next Step Prepare to Evaluate

∴

B = (\frac{3}{2}) \cdot \frac{\sinh (2 \cdot 3.1416 \cdot \frac{2}{26.8})}{\sinh (2 \cdot 3.1416 \cdot \frac{0.91}{26.8})}

Next Step Evaluate

∴

B = 3.39304276870523

LAST Step Rounding Answer

∴

B = 3.393

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Formula Elements

Variables

Constants

Functions

Vertical Semi-Axis

Vertical Semi-Axis typically refers to the half of the longest diameter of an ellipse that runs vertically.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vertical Semi-Axis

Wave Height

Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Distance above the Bottom

Distance above the Bottom refers to the vertical measurement from the lowest point of a given surface (such as the bottom of waterbody) to a specified point above it.

Symbol: D_Z+d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance above the Bottom

Wavelength

Wavelength can be defined as the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Water Depth

Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(Number)

Other formulas in Wave Parameters category

Go Wave Amplitude

a = \frac{H}{2}

Go Angular of Radian Frequency of Wave

ω = 2 \cdot \frac{π}{P}

Go Wave number given wavelength

k = 2 \cdot \frac{π}{λ}

Go Phase Velocity or Wave Celerity

C = \frac{λ}{P}

How to Evaluate Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth?

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth evaluator uses Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength) to evaluate the Vertical Semi-Axis, The Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth formula is defined as the parameters of ellipse influencing fluid particle displacement in horizontal and vertical direction. Vertical Semi-Axis is denoted by B symbol.

How to evaluate Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth using this online evaluator? To use this online evaluator for Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth, enter Wave Height (H), Distance above the Bottom (D_Z+d), Wavelength (λ) & Water Depth (d) and hit the calculate button.

FAQs on Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth

What is the formula to find Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth?

The formula of Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth is expressed as Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength). Here is an example- 3.393043 = (3/2)*(sinh(2*pi*(2)/26.8))/sinh(2*pi*0.91/26.8).

How to calculate Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth?

With Wave Height (H), Distance above the Bottom (D_Z+d), Wavelength (λ) & Water Depth (d) we can find Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth using the formula - Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength). This formula also uses Archimedes' constant and Hyperbolic Sine (sinh) function(s).

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Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Formula

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Example

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Solution

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth Formula Elements

Other formulas in Wave Parameters category

How to Evaluate Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth?

FAQs on Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth

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